• Title/Summary/Keyword: two point method

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Coordinate Measuring Technique based on Optical Triangulation using the Two Images (두장의 사진을 이용한 광삼각법 삼차원측정)

  • 양주웅;이호재
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.76-80
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    • 2000
  • This paper describes a coordinate measuring technique based on optical triangulation using the two images. To overcome the defect of structured light system which measures coordinate point by point, light source is replaced by CCD camera. Pixels in CCD camera were considered as virtual light source. The overall geometry including two camera images is modeled. Using this geometry, the formula for calculating 3D coordinate of specified point is derived. In a word, the ray from a virtual light source was reflected on measuring point and the corresponding image point was made on the other image. Through the simulation result, validation of formula is verified. This method enables to acquire multiple points detection by photographing.

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Optimized Low-Switching-Loss PWM and Neutral-Point Balance Control Strategy of Three-Level NPC Inverters

  • Xu, Shi-Zhou;Wang, Chun-Jie;Han, Tian-Cheng;Li, Xue-Ping;Zhu, Xiang-Yu
    • Journal of Power Electronics
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    • v.18 no.3
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    • pp.702-713
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    • 2018
  • Power loss reduction and total harmonic distortion(THD) minimization are two important goals of improving three-level inverters. In this paper, an optimized pulse width modulation (PWM) strategy that can reduce switching losses and balance the neutral point with an optional THD of three-level neutral-point-clamped inverters is proposed. An analysis of the two-level discontinuous PWM (DPWM) strategy indicates that the optimal goal of the proposed PWM strategy is to reduce switching losses to a minimum without increasing the THD compared to that of traditional SVPWMs. Thus, the analysis of the two-level DPWM strategy is introduced. Through the rational allocation of the zero vector, only two-phase switching devices are active in each sector, and their switching losses can be reduced by one-third compared with those of traditional PWM strategies. A detailed analysis of the impact of small vectors, which correspond to different zero vectors, on the neutral-point potential is conducted, and a hysteresis control method is proposed to balance the neutral point. This method is simple, does not judge the direction of midpoint currents, and can adjust the switching times of devices and the fluctuation of the neutral-point potential by changing the hysteresis loop width. Simulation and experimental results prove the effectiveness and feasibility of the proposed strategy.

An electric field induced on the same plane by a point dipole soruce within a conductor-backed lossy dielectric slab above the earth (지표면 위에 한쪽 면이 도체로 된 손실 유전체 슬랩 속의 다이폴 전원에 의한 동일면상의 전계)

  • 박동국;라정웅
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.12
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    • pp.9-15
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    • 1996
  • An electric field induced by a point dipole soruce within a conductor-backed lossy dielectric slab above the earth is calculated by anumerical method. the calcualtion is peformed on the plane which is parallel to the conductor plane and containing the point dipole soruce. Computed S$_{21}$ values of two parallel planar dipole antennas and two collinear planar dipole antennas are compared against each other, as well as the electic field magnitudes in those arrangements.

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POSITIVE SOLUTIONS OF SINGULAR FOURTH-ORDER TWO POINT BOUNDARY VALUE PROBLEMS

  • Li, Jiemei
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1361-1370
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    • 2009
  • In this paper, we consider singular fourth-order two point boundary value problems $u^{(4)}$ (t) = f(t, u), 0 < t < 1, u(0) = u(l) = u'(0) = u'(l) = 0, where $f:(0,1){\times}(0,+{\infty}){\rightarrow}[0,+{\infty})$ may be singular at t = 0, 1 and u = 0. By using the upper and lower solution method, we obtained the existence of positive solutions to the above boundary value problems. An example is also given to illustrate the obtained theorems.

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PERSISTENCE OF HOMOCLINIC ORBITS AFTER DISCRETIZATION OF A TWO DIMENSIONAL DEGENERATE DIFFERENTIAL SYSTEM

  • Mehidi, Noureddine;Mohdeb, Nadia
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1503-1510
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    • 2014
  • The aim of this work is to construct a general family of two dimensional differential systems which admits homoclinic solutions near a non-hyperbolic fixed point, such that a Jacobian matrix at this point is zero. We then discretize it by using Euler's method and look after the persistence of the homoclinic solutions in the obtained discrete system.

FIXED POINT THEOREMS IN S-METRIC SPACES

  • Kim, Jong Kyu;Sedghi, Shaban;Gholidahneh, A.;Rezaee, M. Mahdi
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.677-684
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    • 2016
  • In this paper, the notion of S-metric spaces will be introduced. We present some fixed point theorems for two maps on complete S-metric spaces and an illustrative example is given for the single-valued case. By using the similar method as in [4], a common fixed point theorem for two single-valued mappings is obtained in S-metric spaces.

Using multiple point constraints in finite element analysis of two dimensional contact problems

  • Liu, C.H.;Cheng, I.;Tsai, An-Chi;Wang, Lo-Jung;Hsu, J.Y.
    • Structural Engineering and Mechanics
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    • v.36 no.1
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    • pp.95-110
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    • 2010
  • Two-dimensional elastic contact problems, including normal, tangential, and rolling contacts, are treated with the finite element method in this study. Stress boundary conditions and kinematic conditions are transformed into multiple point constraints for nodal displacements in the finite element method. Upon imposing these constraints into the finite element system equations, the calculated nodal stresses and nodal displacements satisfy stress and displacement contact conditions exactly. Frictional and frictionless contacts between elastically identical as well as elastically dissimilar materials are treated in this study. The contact lengths, sizes of slip and stick regions, the normal and the shear stresses can be found.

Measurement of 5 DOF Motion Errors in the Ultra Precision Feed Tables for Error Compensation (오차보정을 위한 초정밀 테이블의 5 자유도 운동오차 측정)

  • 오윤진;박천홍;이득우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.672-676
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    • 2004
  • In this paper, measuring system of 5 DOF motion errors are proposed using two capacitive type sensor, a straight edge and a laser interfoerometer. Yawing error and pitching error are measured using the laser interferometer, and rolling error is measured by the reversal method using a capacitive type sensor. Linear motion errors of horizontal and vertical direction are measured using the sequential two point method. In this case, influence of angular motion errors is compensated using the previously measured angular motion errors. In the horizontal direction, measuring accuracy is within 0.05 $\mu$m and 0.27 arcsec, and in the vertical direction, it is within 0.15 $\mu$m and 0.5 arcsec. From these results, it is confirmed that the proposed measureing system is very effective to the measurement of 5 DOF motion errors in the ultra precision feed tables.

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Smith-Predictor Controller Design Using New Reduction Model (새로운 축소 모델을 이용한 Smith-Predictor 제어기 설계)

  • Choi Jeoung-Nae;Cho Joon-Ho;Hwang Hyung-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.1
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    • pp.9-15
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    • 2003
  • To improve the performance of PID controller of high order systems by model reduction, we proposed two model reduction methods. One, Original model with two point $({\angle}G(jw)=\;-{\pi}/2,\;-{\pi})$ in Nyquist curve used gradient base method and genetic algorithm. The other, Original model without two point$({\angle}G(jw)=\;-{\pi}/2,\;-{\pi})$in Nyquist curve used to add very small dead time. This method has annexed very small dead time on the base model for reduction, and we remove it after getting the reduced model, and , we improved Smith-predictor for a dead-time compensator using genetic algorithms. This method considered four points$({\angle}G(jw)=0,\;-\pi/2,\;-\pi,\;-3\pi/2)$ in the Nyquist curve to reduce steady state error between original and reduced model. It is shown that the proposed methods have more performance than the conventional method.

ACCELERATED HYBRID ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES

  • Baiya, Suparat;Ungchittrakool, Kasamsuk
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.3
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    • pp.553-568
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    • 2022
  • In this paper, we introduce and study two different iterative hybrid projection algorithms for solving a fixed point problem of nonexpansive mappings. The first algorithm is generated by the combination of the inertial method and the hybrid projection method. On the other hand, the second algorithm is constructed by the convex combination of three updated vectors and the hybrid projection method. The strong convergence of the two proposed algorithms are proved under very mild assumptions on the scalar control. For illustrating the advantages of these two newly invented algorithms, we created some numerical results to compare various numerical performances of our algorithms with the algorithm proposed by Dong and Lu [11].